Lesson 3 Flashcards
The science of correct reasoning.
Logic
The drawing of inferences or conclusions
from known or assumed facts
Reasoning
Reasoning can either be ________ or ________
inductive or deductive
Logic is ___ the study
of __________and
manipulative rhetorical
_______
NOT
persuasion
devices
‘successful argument’ does not mean _______
argument
Persuasive
the process of reaching a general
conclusion by examining specific examples.
Inductive reasoning
Human fallibility and manipulative
rhetoric led people to
accept poor reasoning
reject good reasoning
the process of reaching a
conclusion by applying general assumptions, procedures,
or principles.
Deductive reasoning
uses patterns to arrive at a
conclusion (conjecture
inductive reasoning
uses facts, rules, definitions or
properties to arrive at a conclusion
deductive reasoning
In Deductive Reasoning,
TRUE
PREMISE
+
TRUE
PREMISE =
TRUE PREMISE
while in Inductive Reasoning,
TRUE
PREMISE
+
TRUE
PREMISE =
PROBABLY TRUE
CONCLUSION
________ordered list of numbers.
The numbers separated by commas are called the________
Sequence
Terms of sequence
Who invented the pascal triangle
Blaise Pascal
Used for identifying large Fibonacci numbers.
Jacques Philippe Marie Binet
Binet’s Formula
One of the recent mathematicians who outlined a
strategy for solving problems from virtually any discipline
is
Father of problem-solving
George Polya
George Polya;s book
“How to Solve It”
Think of strategies to solve the problem.
Devise a plan
POLYA’S FOUR - STEP PROBLEM - SOLVING STRATEGY
- Understand the problem
- Devise a plan
- Carry out the plan
- Review the solution
This part of the problem-solving is sometimes (if not
always) neglected
You can state the problem in your own words
Understand the problem
- Implementing the strategy chosen (in the second step)
until the problem is solved.
Carry out the plan
- Counter checking if your answers are correct.
Review the solution
The statement
𝑎 ≡ 𝑏𝑚𝑜𝑑 𝑛 is called a
Congruence
